Isocausal spacetimes may have different causal boundaries

J L Flores (1) , J Herrera (1) , M Sánchez (2)

1 Facultad de Ciencias
2 Facultad de Ciencias

We construct an example which shows that two isocausal spacetimes, in the sense introduced recently in [ 12 ], may have c-boundaries which are not equal (more precisely, not equivalent, as no bijection between the completions can preserve all the binary relations induced by causality). This example also suggests that isocausality can be useful for the understanding and computation of the c-boundary.

Mots clés: causal boundary; causal mappings; isocausality; conformal structure of spacetimes; Causality

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

J L Flores, J Herrera, M Sánchez. Isocausal spacetimes may have different causal boundaries. Classical and Quantum Gravity, 2011, 28 (17), pp.175016. ⟨10.1088/0264-9381/28/17/175016⟩. ⟨hal-00728904⟩